In Euclidean space, there can be several definitions that makes a straght line: Line of shortest distance between two points Line that is linear, i.e with...

I've seen the formula written as the following: $$ Characteristic Polynomial = −λ^3+ tr(A)λ^2+(tr(A)^2−tr(A^2))λ+det(A)$$ Although sometimes I'v...

When 30(10) = 1E(16) and 100(10) = 1a(64), what is the result of 199(10) = x(100)?

If given a function $f(x,y)$ that can be re-expressed as $g(\rho, \phi), $then by the chain rule $$\frac{\partial f}{\partial x}= \frac{\partial f}{\parti...

I have a calculation which gives me the annual interest rate if I already know the monthly interest rate as follows: (Monthly interest rate + 1)^12 In thi...

It is known that the following holds good: $$ \arcsin x + \arcsin y =\begin{cases} \arcsin( x\sqrt{1-y^2} + y\sqrt{1-x^2}) \;\;;x^2+y^2 \le 1 \;\text{ or ...

From my understanding of basic Calculus (which could very well be completely flawed), the derivative of position with respect to time would give us the sl...

I’m reading Modern Geometry by Dolciani from 1965. There is no mention of the segment addition postulate, but they do name a definition with the usual giv...

So, I'm quite confused. I'm currently working with 3-dimensional vectors in an attempt to model an object's local axes in Unity. I already ...

So as I have said before in a previous question, I am taking a first course in Mathematical Analysis, and I'm quite excited. I just found out though ...